A new technique is proposed for computing particle concentrations and fluxes with Lagrangian trajectories. This method calculates particle concentrations based on the volume of a parcel element, or cloud, at the flux plane compared against the initial volume and is referred to as the Lagrangian Parcel Volume (LPV) method. This method combines the steady-state accuracy of area-based methods with the unsteady capabilities of bin-based methods. The LPV method results for one-dimensional (1D) unsteady flows and linear two-dimensional (2D) steady flows show that a quadrilateral element shape composed of a single parcel (with four edge particles) is capable of accurately predicting particle concentrations. However, nonlinear 2D flows can lead to concave or crossed quadrilaterals which produce significant numerical errors. This problem was solved by dividing the quadrilateral parcel into two triangular semi-parcels (each with three edge particles), such that triangular shapes are maintained regardless of trajectory crossing effects. Various schemes were used to understand the relationship between computational resolution and accuracy, the influence of particle timestep and parcel size and spacing. It was found that concentration interpolation can be used to reduce the number of parcels in the convection direction while maintaining high accuracy. For unsteady 2D flows, it is suggested that in order to correctly obtain the effective concentration, parcels must be released in succession; however, a larger distance between parcels is possible with the use of an interpolation at the cost of accuracy.


    Access

    Check access

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Lagrangian Parcel Volume Method for Unsteady Particle Concentration


    Additional title:

    Sae Technical Papers


    Contributors:
    Bidwell, Colin (author) / Loth, Eric (author) / Mickey, Jason (author)

    Conference:

    SAE 2011 International Conference on Aircraft and Engine Icing and Ground Deicing ; 2011



    Publication date :

    2011-06-13




    Type of media :

    Conference paper


    Type of material :

    Print


    Language :

    English




    Lagrangian Parcel Volume Method for Particle Surface Flux

    Mickey, J. / Traphahn, C. / Loth, E. et al. | British Library Conference Proceedings | 2012


    Lagrangian Parcel Volume Method for Particle Surface Flux

    Mickey, Jason / Traphahn, Chis / Loth, Eric | AIAA | 2012


    Drop Concentration and Flux on a Cylinder Using the Lagrangian Parcel Volume Method

    Triphahn, Christopher / Mickey, Jason / Loth, Eric | AIAA | 2012



    LAGRANGIAN CONCENTRATION DIFFERENTIAL EQUATIONS FOR INTERPHASE MASS TRANSFER AND UNSTEADY FLOW

    Mickey, J. / Loth, E. / American Institute of Aeronautics and Astronautics | British Library Conference Proceedings | 2011